Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let ( \( x, y \) ) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for \( x \) and \( y \).) midpoint \( (3,-16) \), endpoint \( (4,-18) \) The other endpoint is \( \square \). (Type an ordered pair.)

To find the coordinates of the other endpoint, we'll use the midpoint formula, which states that the midpoint \( M \) is the average of the coordinates of the two endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \): \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Given the midpoint \( (3, -16) \) and one endpoint \( (4, -18) \), let the other endpoint be \( (x, y) \). This gives us the following equations: 1. \( \frac{4 + x}{2} = 3 \) 2. \( \frac{-18 + y}{2} = -16 \) Now, solving for \( x \): 1. Multiply both sides by 2: \[ 4 + x = 6 \] 2. Subtract 4 from both sides: \[ x = 2 \] Now solving for \( y \): 1. Multiply both sides by 2: \[ -18 + y = -32 \] 2. Add 18 to both sides: \[ y = -14 \] Thus, the coordinates of the other endpoint are \( (2, -14) \). The other endpoint is \( (2, -14) \).